Answer:
x= -2
Step-by-step explanation: If you feel skeptical about my answer, then you should plug -2 back into the equation to check if it's correct. And it's correct for me when I did it.
Answer:
2.07 x 10^4
Step-by-step explanation:
Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the flight distance is partitioned in a ratio of 3:1, hence:
L - Nv = 3/4(Ny - Nv).
This ratio is applied for both coordinates, hence, for the x-coordinate:
x = 2.75.
For the y-coordinate:
x = 1.5.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
2/3 of her glasses
Step-by-step explanation:
If 1/2 liter apple juice fills 1/3 of her glasses, then twice that volume will fill twice as many glasses: 2/3 of her glasses.
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
